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Finding the Third Proportional to 22.07 and 30.97

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Solution

The third proportional to 22.07 and 30.97 is: 43.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    22.07 : 30.97 = 30.97 : x
  2. Step 2: Convert to fraction form
    22.07/30.97 = 30.97/x
  3. Step 3: Cross multiply
    22.07x = 30.97 × 30.97
  4. Step 4: Simplify right side
    22.07x = 959.03
  5. Step 5: Solve for x
    x = 959.03/22.07
  6. Step 6: Final answer
    x = 43.46

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.